作者:杨新松,刁鑫
Authors:YANG Xin-song,DIAO Xin摘要:摘要:利用组合群论的方法寻找本原元的性质,通过对不同Jordan标准形的讨论和对幂单矩阵性质的分析,并利用计算机软件进行辅助计算,找到可以使二元生成自由群在线性表示维数是9时成为幂单群的条件。对幂单性的已有结论进行了推广。
Abstract:Abstract:By using the method of combinatorial group theory, the properties of primitives are found. By discussing different Jordan canonical forms and analyzing the properties of unipotent matrices, and by using computer software, the conditions that binary generated free groups which linear representation dimension are nine can be proved unipotent groups are found. The existing conclusions have been promoted.
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